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Title: | Lyapunov function based design of robust fuzzy controllers for uncertain nonlinear systems : distinct Lyapunov functions | Authors: | Leung, FHF Lam, HK Tam, PKS |
Issue Date: | 1998 | Source: | The 1998 IEEE International Conference on Fuzzy Systems proceedings : IEEE World Congress on Computational Intelligence : May 4-May 9, 1998, Anchorage, Alaska, USA, p. 577-582 | Abstract: | This paper presents the stability and robustness analyses of an uncertain fuzzy control system which is formed by an uncertain fuzzy plant model and a fuzzy controller. The fuzzy plant model with parameter uncertainties describes exactly the behavior of an uncertain nonlinear plant. Three design approaches are introduced to close the feedback loop. Based on the Lyapunov's stability theory, new stability criteria and robust areas are to be derived without resorting to a common Lyapunov function. An application example on stabilizing an uncertain nonlinear mass-spring-damper system will be given to illustrate the merit. | Keywords: | Closed loop control systems Feedback control Functions Lyapunov methods Mathematical models Nonlinear control systems Parameter estimation Robustness (control systems) System stability |
Publisher: | IEEE | ISBN: | 0-7803-4863-X | Rights: | © 1998 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE. This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holder. |
Appears in Collections: | Conference Paper |
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